Question

Erika is 12 years older than her friend Nick. She is also 3 times as old as Nick. Let x represent Nick’s current age.

Answer 1

Nick is 6 years old.

Erica is 18 years old.

Explanation:

Hello!

We know that Erica is 12 years older than Nick, which also means she is 3 times older than Nick. We can represent this situation as two equations.

Let E be Erica's age, and x be Nick's age.

E = x + 12, and E = x* 3

Since E is equal to E, we can say that x + 12 = 3x.

Solve for x

• x + 12 = 3x
• 12 = 2x
• 6 = x

The value of x is 6. Nick is 6 years old, and Erica is 18 years old.